VCE Together Mathematical Methods: Continuous Random Variables

#### Mathematical Methods

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# Continuous Random Variables

Continuous Random Variables is a part of the VCE Maths Methods topic Probability and Statistics.

Here we will understand and use the concepts of a probability density function of a continuous random variable. This includes the following:

• Know the two properties of a probability density function
• Define the probability as the area under the graph of the probability density function
• Examine simple types of continuous random variables and use them in appropriate contexts
• Explore properties of a random variable that is uniformly distributed
• Find the mode from a given probability density function

### The Probability Distribution Function

The following video introduces the idea of a probability density function.

### Continuous Variables

The following three videos introduce the idea of continuous variables as a condition for probability density functions.

##### Part 3

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